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A152763 Number of divisors of Catalan number A000108(n). 6
1, 1, 2, 2, 4, 8, 12, 8, 16, 16, 24, 32, 48, 72, 192, 96, 192, 256, 576, 512, 768, 768, 1024, 1152, 1152, 1728, 1536, 1536, 4096, 4096, 5120, 2048, 6144, 12288, 12288, 8192, 12288, 12288, 24576, 24576, 36864, 98304, 131072, 147456, 196608, 196608, 368640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A000005(A000108(n)).

MAPLE

A000108 := proc(n) binomial(2*n, n)/(n+1) ; end: A152763 := proc(n) numtheory[tau](A000108(n)) ; end: for n from 0 to 80 do printf("%d, ", A152763(n)) ; od: # R. J. Mathar, Dec 15 2008

MATHEMATICA

DivisorSigma[0, CatalanNumber@Range[0, 40]] (* Vladimir Reshetnikov, Nov 13 2015 *)

PROG

(PARI) vector(100, n, n--; numdiv(binomial(2*n, n)/(n+1))) \\ Altug Alkan, Nov 13 2015

CROSSREFS

Cf. A000005, A000108, A152761, A152762.

Sequence in context: A056381 A245597 A019463 * A221666 A086700 A104221

Adjacent sequences:  A152760 A152761 A152762 * A152764 A152765 A152766

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Dec 14 2008

EXTENSIONS

Extended by R. J. Mathar, Dec 15 2008

STATUS

approved

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Last modified August 18 04:40 EDT 2017. Contains 290684 sequences.